Chapter 2: Q11. (page 71)

Graph the line that satisfies each set of conditions.
Passes through $(- 1, 5)$ perpendicular to graph of $5 x - 3 y - 3 = 0 .$

Short Answer

Expert verified

The graph of the required line is:

Step by step solution

Step 1- Given information

A point $(- 1, 5)$ and an equation $5 x - 3 y - 3 = 0$ .

Step 2- Calculation

From given information,

A point $(- 1, 5)$ and $5 x - 3 y - 3 = 0$

Here, x-intercept is:

$\begin{array}{l} 5 x - 3 \times 0 = 3 \\ \Rightarrow 5 x = 3 \\ \Rightarrow x = \frac{3}{5} \end{array}$

y- intercept is:

$\begin{array}{l} 5 \times 0 - 3 y = 3 \\ \Rightarrow - 3 y = 3 \\ \Rightarrow y = - 1 \end{array}$

Therefore, the line goes to $1$ units up and $\frac{3}{5}$ units right then.

So, the slope of the line is $\frac{5}{3}$ .

The slope of the perpendicular line is the opposite reciprocal of $\frac{5}{3}$ is $- \frac{3}{5} .$

Now, start at $(- 1, 5)$ and go 3 units below and 5 units right then,

We get a new point $(4, 2)$ .

Now we draw the line which is contained both the points $(- 1, 5)$ and $(4, 2)$ .

Step 3- Graph of the line

The graph of the required line is:

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Graph the line that satisfies each set of conditions.
Passes through $(- 1, 5)$ perpendicular to graph of $5 x - 3 y - 3 = 0 .$

Short Answer

Step by step solution

Step 1- Given information

Step 2- Calculation

Step 3- Graph of the line

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Graph the line that satisfies each set of conditions.Passes through -1,5perpendicular to graph of 5x-3y-3=0.

Short Answer

Step by step solution

Step 1- Given information

Step 2- Calculation

Step 3- Graph of the line

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

Geometry

Mechanics Maths

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Graph the line that satisfies each set of conditions.
Passes through $(- 1, 5)$ perpendicular to graph of $5 x - 3 y - 3 = 0 .$